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Finding the Third Proportional to 307,834 and 445,435

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Solution

The third proportional to 307,834 and 445,435 is: 644,543.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,834 : 445,435 = 445,435 : x
  2. Step 2: Convert to fraction form
    307,834/445,435 = 445,435/x
  3. Step 3: Cross multiply
    307,834x = 445,435 × 445,435
  4. Step 4: Simplify right side
    307,834x = 198,412,339,225
  5. Step 5: Solve for x
    x = 198,412,339,225/307,834
  6. Step 6: Final answer
    x = 644,543.29

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.